Optimum isotherms of dyes sorption by activated carbon: Fractional theoretical capacity & error analysis

S. Venkat Mohan, S. Krishna Mohan, J. Karthikeyan, Adsorption mechanism of acid-azo dye from aqueous solution on to coal/coal based sorbents and activated carbon: a mechanist study, in: S. Jayarama Reddy (Ed.), Analytical Techniques in Monitoring the Environment, Student Offset Printers, Tirupathi, India, 2000, pp. 97–103. D. Do Duong, Adsorption Analysis: Equilibria and Kinetics, Imperial College Press, 1998. Hadi, 2011, Simplified fixed bed design models for the adsorption of acid dyes on novel pine cone derived activated carbon, Water Air Soil Pollut., 218, 197, 10.1007/s11270-010-0635-2 McKay, 2011, Adsorption of reactive dye from aqueous solutions by compost, Desalination Water Treat., 28, 1, 10.5004/dwt.2011.2216 Hadi, 2010, Equilibrium two-parameter isotherms of acid dyes sorption by activated carbons: study of residual errors, Chem. Eng. J., 160, 408, 10.1016/j.cej.2010.03.016 Hadi, 2012, Prediction of optimum adsorption isotherm: comparison of chi-square and Log-likelihood statistics, Desalination Water Treat., 49, 81, 10.1080/19443994.2012.708202 Xue, 2009, Adsorption removal of reactive dyes from aqueous solution by modified basic oxygen furnace slag: isotherm and kinetic study, Chem. Eng. J., 147, 272, 10.1016/j.cej.2008.07.017 McKay, 2011, Adsorption of reactive dye from aqueous solutions by compost, Desalination Water Treat., 28, 164, 10.5004/dwt.2011.2216 Piccin, 2012, Kinetics and isotherms of leather dye adsorption by tannery solid waste, Chem. Eng. J., 183, 30, 10.1016/j.cej.2011.12.013 Dotto, 2013, Application of chitosan films for the removal of food dyes from aqueous solutions by adsorption, Chem. Eng. J., 214, 8, 10.1016/j.cej.2012.10.027 Kumar, 2008, Comparison of various error functions in predicting the optimum isotherm by linear and non-linear regression analysis for the sorption of basic red 9 by activated carbon, J. Hazard. Mater., 150, 158, 10.1016/j.jhazmat.2007.09.020 Choy, 2000, Langmuir isotherm models applied to the multicomponent sorption of acid dyes from effluent onto activated carbon, J. Chem. Eng. Data, 45, 575, 10.1021/je9902894 Choy, 2001, A film-pore-surface diffusion model for the adsorption of acid dyes on activated carbon, Adsorption, 7, 231, 10.1023/A:1012736918283 Choy, 2004, Intraparticle diffusion in single and multicomponent acid dye adsorption from wastewater onto carbon, Chem. Eng. J., 103, 133, 10.1016/j.cej.2004.05.012 Choy, 2004, Single and multicomponent equilibrium studies for the adsorption of acidic dyes on carbon from effluents, Langmuir, 20, 9646, 10.1021/la040048g Stewart, 1989, Optimization of parameters for semiempirical methods I. Method, J. Comput. Chem., 10, 209, 10.1002/jcc.540100208 Khan, 1996, A generalized equation for adsorption isotherms for multi-component organic pollutants in dilute aqueous solution, Environ. Technol., 17, 13, 10.1080/09593331708616356 Edgar, 1989 Hanna, 1995 R Core Team, R: A Language and Environment for Statistical Computing R Foundation for Statistical Computing, Vienna, Austria, 2013 <http://www.R-project.org/>. Armstrong, 1992, Error measures for generalizing about forecasting methods: empirical comparisons, Int. J. Forecast., 8, 69, 10.1016/0169-2070(92)90008-W Ho, 2004, Selection of optimum sorption isotherm, Carbon, 42, 2113, 10.1016/j.carbon.2004.03.019 Sokal, 1985, Biometry: the principles and practice of statistics in biological research, Int. J. Epidemiol., 14, 389 K.H. Choy. Equilibrium Sorption Studies of Acid Dyes on Activated Carbon [Thesis (M.Phil.)]: Hong Kong University of Science and Technology, 1999. Porter, 1999, The prediction of sorption from a binary mixture of acidic dyes using single-and mixed-isotherm variants of the ideal adsorbed solute theory, Chem. Eng. Sci., 54, 5863, 10.1016/S0009-2509(99)00178-5 Marquardt, 1963, An algorithm for least-squares estimation of nonlinear parameters, J. Soc. (Ind.) Appl. Math., 11, 431, 10.1137/0111030 Kapoor, 1989, Correlation of equilibrium adsorption data of condensible vapours on porous adsorbents, Gas Sep. Purif., 3, 187, 10.1016/0950-4214(89)80004-0 Zachara, 1987, Sorption of binary mixtures of aromatic nitrogen heterocyclic compounds on subsurface materials, Environ. Sci. Technol., 21, 397, 10.1021/es00158a010 Akaike, 1974, A new look at the statistical model identification, IEEE Trans. Autom. Control, 19, 716, 10.1109/TAC.1974.1100705 Mallows, 2000, Some comments on Cp, Technometrics, 42, 87 Ip, 2009, Reactive black dye adsorption/desorption onto different adsorbents: effect of salt, surface chemistry, pore size and surface area, J. Colloid Interface Sci., 337, 32, 10.1016/j.jcis.2009.05.015 Langmuir, 1918, The adsorption of gases on plane surfaces of glass, mica, and platinum, J. Am. Chem. Soc., 40, 1361, 10.1021/ja02242a004 Dubinin, 1947, The equation of the characteristic curve of activated charcoal, Dokl. Akad. Nauk SSSR, 55, 327 Jovanovic, 1969, Physical adsorption of gases I: isotherms for monolayer and multilayer adsorption, Colloid Polym. Sci., 235, 1203 Sips, 1948, On the structure of a catalyst surface, J. Chem. Phys., 16, 490, 10.1063/1.1746922 Fritz, 1974, Simultaneous adsorption equilibria of organic solutes in dilute aqueous solution on activated carbon, Chem. Eng. Sci., 29, 1279, 10.1016/0009-2509(74)80128-4 Radke, 1972, Adsorption of organic solutions from dilute aqueous solution on activated carbon, Ind. Eng. Chem. Fund., 11, 445, 10.1021/i160044a003 Tóth, 2000, Calculation of the BET compatible surface area from any type I. Isotherms measured below the critical temperature, J. Colloid Interface Sci., 225, 378, 10.1006/jcis.2000.6723 Chern, 2001, Desorption of dye from activated carbon beds: effects of temperature, pH, and alcohol, Water Res., 35, 4159, 10.1016/S0043-1354(01)00127-0 Quinones, 1998, Extension of Jovanovic–Freundlich isotherm model to multicomponent adsorption on heterogeneous surfaces, J. Chromatogr. A, 796, 15, 10.1016/S0021-9673(97)01096-0 M. Baudu, Etude des interactions solute-fibres de charbon actif, Application et regeneration [Ph.D. Thesis]: Universit́e de Rennes I, 1990. Aksu, 2000, Modelling of simultaneous biosorption of phenol and nickel (II) onto dried aerobic activated sludge, Sep. Purif. Technol., 21, 87, 10.1016/S1383-5866(00)00194-5 Cooney, 1999 Khan, 1997, Equilibrium adsorption studies of some aromatic pollutants from dilute aqueous solutions on activated carbon at different temperatures, J. Colloid Interface Sci., 194, 154, 10.1006/jcis.1997.5041 Ho, 2002, Equilibrium isotherm studies for the sorption of divalent metal ions onto peat: copper, nickel and lead single component systems, Water Air Soil Pollut., 141, 1, 10.1023/A:1021304828010 Húmpola, 2013, Thermodynamic analysis of adsorption models of phenol in liquid phase on different activated carbons, J. Chil. Chem. Soc., 58, 1541, 10.4067/S0717-97072013000100009 O. Moradi, Thermodynamics of Interfaces, in: J. Carlos Moreno-Pirajan (Ed.), Thermodynamics – Interaction Studies – Solids, Liquids and Gases, InTech, 2011. Vijayaraghavan, 2008, Biosorption of methylene blue from aqueous solution using free and polysulfone-immobilized Corynebacterium glutamicum: batch and column studies, Bioresource Technol., 99, 2864, 10.1016/j.biortech.2007.06.008 Mandelbrot, 1983 Pyun, 2004, An investigation of fractal characteristics of mesoporous carbon electrodes with various pore structures, Electrochim. Acta, 49, 4171, 10.1016/j.electacta.2004.04.012 Farin, 1989 J. Rouquerol, F. Rouquerol, P. Llewellyn, G. Maurin, K.S. Sing, Adsorption by Powders and Porous Solids: Principles, Methodology and Applications, Academic Press, 2013. Khan, 1987, Adsorption thermodynamics of carbofuran on Sn (IV) arsenosilicate in H+, Na+ and Ca2+ forms, Colloids Surf., 24, 33, 10.1016/0166-6622(87)80259-7 Mahmoud, 2012, Batch adsorption of basic dye using acid treated kenaf fibre char: equilibrium, kinetic and thermodynamic studies, Chem. Eng. J., 181, 449, 10.1016/j.cej.2011.11.116 Al-Degs, 2008, Effect of solution pH, ionic strength, and temperature on adsorption behavior of reactive dyes on activated carbon, Dyes Pigm., 77, 16, 10.1016/j.dyepig.2007.03.001 Ho, 2004, Selection of optimum sorption isotherm, Carbon, 42, 2115, 10.1016/j.carbon.2004.03.019 Foo, 2010, Insights into the modeling of adsorption isotherm systems, Chem. Eng. J., 156, 2, 10.1016/j.cej.2009.09.013 Kumar, 2007, Optimum sorption isotherm by linear and non-linear methods for malachite green onto lemon peel, Dyes Pigm., 74, 595, 10.1016/j.dyepig.2006.03.026